Self-consistent random phase approximation: Application to the Hubbard model for finite number of sites
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TLDR
In this article, the authors considered the one-dimensional Hubbard model linear closed chains with various numbers of sites and obtained good results for the two-electron and high-density Fermi gas limits.Abstract:
Within the one-dimensional Hubbard model linear closed chains with various numbers of sites are considered in the self-consistent random phase approximation (SCRPA). Excellent results with a minimal numerical effort are obtained for $(2+4n)$-site cases, confirming earlier results with this theory for other models. However, the $4n$-site cases need further consideration. The SCRPA solves the two-site problem exactly. It therefore contains the two-electron and high-density Fermi gas limits correctly.read more
Citations
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A formally exact one-frequency-only Bethe-Salpeter-like equation. Similarities and differences between GW+BSE and self-consistent RPA
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Self-consistent RPA and the time-dependent density matrix approach
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Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
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References
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